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Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).
1

%I #7 Jun 20 2022 19:07:06

%S 672,7840,95872,1200640,15217152,194145280,2484815872,31866634240,

%T 408975286272,5252589690880,67463932444672,866817120010240,

%U 11135790843297792,143096049577492480,1838434738592284672

%N Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234476/b234476.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 224*a(n-2) -10304*a(n-4) +96256*a(n-6) -80640*a(n-8).

%e Some solutions for n=3:

%e 4 5 3 1 5 3 4 4 6 6 7 6 2 2 1 0 1 3 3 2

%e 1 3 7 4 1 0 2 3 0 1 1 1 6 7 2 0 5 6 5 3

%e 3 6 5 3 1 1 3 5 2 2 4 5 3 5 1 0 3 3 1 0

%e 1 3 6 5 5 4 6 7 4 5 2 2 5 6 3 1 0 1 5 3

%Y Column 1 of A234481.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 26 2013